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On the range of eigenvalues of an interval matrix

Zur Einschliessung der Eigenwerte einer Intervallmatrix

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Abstract

We describe a method for enclosing the set of real eigenvalues of an interval matrix pertaining to eigenvectors of a given sign pattern.

Zusammenfassung

Wir beschreiben eine Methode zur Einschliessung der Menge aller reellen Eigenwerte einer Intervallmatrix die zu Eigenvektoren von einer vorgeschriebenen Zeichenstruktur gehören.

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References

  1. Deif, A.: The interval eigenvalue problem. Zeit. Angew. Math. Mech.71, 61–64 (1991).

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  2. Rohn, J.: Real eigenvalues of an interval matrix with rank one radius. Zeit. Angew. Math.Mech.70, T562-T563 (1990).

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Authors and Affiliations

  1. Faculty of Math. and Physics, Charles University, Malostranske nam. 25, CS-11800, Prague, Czechoslovakia

    J. Rohn

  2. Faculty of Engineering, Cairo University, Giza, Egypt

    A. Deif

Authors
  1. J. Rohn
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  2. A. Deif
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Rohn, J., Deif, A. On the range of eigenvalues of an interval matrix. Computing 47, 373–377 (1992). https://doi.org/10.1007/BF02320205

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  • DOI: https://doi.org/10.1007/BF02320205

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